A standard admissions test was given at three locations. One thousand students took the test at location A, 600 students at location B, and 400 students at location C. The percentages of students from locations A, B, and C, who passed the test were 70%, 68%, and 77%, respectively. One student is selected at random from among those who took the test. 29. What is the probability that the selected student passed the test?30. If the selected student passed the test, what is the probability that the student took the test at location B?31. What is the probability that the selected student took the test at location C and failed? 5

Abby, Brenda, and Cameron; three candidates for the presidency of a college’s student body, are to address a student forum. The forum’s organizer is to select the order in which the candidates will give their speeches, and must do so in such a way that each possible order is equally likely to be selected.32. List the outcomes in the sample space.33. Assign probabilities to the outcomes.34. What is the probability that Cameron will speak first?35. What is the probability that one of the women will speak first?36. What is the probability that Abby will speak before Cameron does?A survey of a magazine’s subscribers indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car. What proportion of subscribers37. own both a car and a house?38. own a car or a house, or both?6

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